42734899200 has 936 divisors, whose sum is σ = 175071419712. Its totient is φ = 9138339840.

The previous prime is 42734899157. The next prime is 42734899241. The reversal of 42734899200 is 299843724.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42734899200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255897517 + ... + 255897683.

Almost surely, 2^42734899200 is an apocalyptic number.

42734899200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42734899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87535709856).

42734899200 is an abundant number, since it is smaller than the sum of its proper divisors (132336520512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42734899200 is a wasteful number, since it uses less digits than its factorization.

42734899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 42734899200 in words is "forty-two billion, seven hundred thirty-four million, eight hundred ninety-nine thousand, two hundred".